Can you get another Mew by restarting your game?

Question

If my someone did the mew event then traded the mew to me then restarted, could they get another mew?

Answer 1

The official site says you "need the pokedex", which I assume is the normal one, not the national dex. If it was the latter then obviously it would take ages to do.

But I think it will be possible because when you start a new game it has no idea what you did in the game before.